Pith Number

pith:P4VEZ2JK

pith:2019:P4VEZ2JKXIBXNKJ2W6HKKRDIY2

not attested not anchored not stored refs pending

Mathematical model of a flow of reacting substances in a channel of network

Kaloyan N. Vitanov, Nikolay K. Vitanov, Zlatinka I. Dimitrova

arxiv:1906.04828 v1 · 2019-02-09 · physics.class-ph · physics.flu-dyn

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{P4VEZ2JKXIBXNKJ2W6HKKRDIY2}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-17T23:43:30.384057Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7f2a4ce92aba0376a93ab78ea54468c6adeed96e2fb3f10bdd6f20b51d842f90

Aliases

arxiv: 1906.04828 · arxiv_version: 1906.04828v1 · doi: 10.48550/arxiv.1906.04828 · pith_short_12: P4VEZ2JKXIBX · pith_short_16: P4VEZ2JKXIBXNKJ2 · pith_short_8: P4VEZ2JK

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/P4VEZ2JKXIBXNKJ2W6HKKRDIY2 \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 7f2a4ce92aba0376a93ab78ea54468c6adeed96e2fb3f10bdd6f20b51d842f90

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "00a5a17672308df86bd5b5f064ed5d025a53badaf41275151a697324849d303c",
    "cross_cats_sorted": [
      "physics.flu-dyn"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.class-ph",
    "submitted_at": "2019-02-09T11:51:31Z",
    "title_canon_sha256": "cf73c9321be0ac08d6e241f64f8a30214f60cb48061373f74791327971db3c8b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.04828",
    "kind": "arxiv",
    "version": 1
  }
}